Explain in detail why the degree of the polynomial below is not 6. 3x^2+6xy-10x^5+y^6-10x^3y^5

The given polynomial is

p (x, y) = 3x² + 6xy - 10x⁵ + y⁶ - 10x³y⁵

To determine the degree of the polynomial, let us determine the degrees of the monomials.

3x² has degree 2,

6xy has degree 1+1 = 2,

10x⁵ has degree 5,

y⁶ has degree 6,

10x³y⁵ has degree 3+5 = 8

Answer:

The degree of the polynomial is not 6, but 8.

Explanation:

The degree of the polynomial is 8 because that is the highest degree of the terms in the polynomial.